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Finding the Fourth Proportional to 463.91, 640.01 and 298.19

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Solution

The fourth proportional to 463.91, 640.01 and 298.19 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.91 : 640.01 = 298.19 : x
  2. Step 2: Convert to fraction form
    463.91/640.01 = 298.19/x
  3. Step 3: Cross multiply
    463.91x = 640.01 × 298.19
  4. Step 4: Simplify right side
    463.91x = 190,839.89
  5. Step 5: Solve for x
    x = 190,839.89/463.91
  6. Step 6: Final answer
    x = 411.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.